Pattern BlocksPattern Blocks

Region RelationshipsRegion Relationships

The green triangleThe green triangle

is what fraction of the is what fraction of the blue rhombus?blue rhombus?

1122

The red trapezoidThe red trapezoid

is what fraction of the is what fraction of the yellow hexagon?yellow hexagon?

1122

How canHow canandand

both be equivalent both be equivalent to ?to ?11

22

The blue rhombusThe blue rhombus

is what fraction of the is what fraction of the yellow hexagon?yellow hexagon?

1133

The green triangleThe green triangle

is what fraction of the is what fraction of the red trapezoid?red trapezoid?

1133

How canHow canandand

both be equivalent both be equivalent to ?to ?11

33

The green triangleThe green triangle

is what fraction of the is what fraction of the yellow hexagon?yellow hexagon?

1166

What pattern block What pattern block represents when you represents when you

use two yellow hexagons use two yellow hexagons as the whole?as the whole?

1166

How can two different How can two different pattern blocks both be pattern blocks both be

equivalent to ?equivalent to ?1166

Now use two yellow Now use two yellow hexagons as the whole.hexagons as the whole.

2 yellow hexagons = 1 whole.2 yellow hexagons = 1 whole.

The yellow hexagon is The yellow hexagon is what part of the whole?what part of the whole?

1122

2 yellow hexagons = 1 whole.2 yellow hexagons = 1 whole.

The red trapezoid is The red trapezoid is what part of the whole?what part of the whole?

1144

2 yellow hexagons = 1 whole.2 yellow hexagons = 1 whole.

The blue rhombus is The blue rhombus is what part of the whole?what part of the whole?

1166

2 yellow hexagons = 1 whole.2 yellow hexagons = 1 whole.

The green triangle is The green triangle is what part of the whole?what part of the whole?

111212

Now use three yellow Now use three yellow hexagons as the whole.hexagons as the whole.

3 yellow hexagons = 1 whole.3 yellow hexagons = 1 whole.

The yellow hexagon is The yellow hexagon is what part of the whole?what part of the whole?

1133

3 yellow hexagons = 1 whole.3 yellow hexagons = 1 whole.

The red trapezoid is The red trapezoid is what part of the whole?what part of the whole?

1166

3 yellow hexagons = 1 whole.3 yellow hexagons = 1 whole.

The blue rhombus is The blue rhombus is what part of the whole?what part of the whole?

1199

3 yellow hexagons = 1 whole.3 yellow hexagons = 1 whole.

The green triangle is The green triangle is what part of the whole?what part of the whole?

111818

Using Pattern Blocks to Using Pattern Blocks to Add and Subtract Add and Subtract

FractionsFractions

One yellow hexagon is equivalent to one whole.One yellow hexagon is equivalent to one whole.

Show:Show: 1133

++ 1133

++

Shade on each hexagon, combine like shapes.Shade on each hexagon, combine like shapes.31

==

== 2233

Show:Show: 2233

++ 1122

++ ==

=1=1 1166

Show:Show: 3322

++ 1166

++ ==

=1=1 2233

Show:Show: 2233 -- 11

22

== 1166

==

Show: 1 1Show: 1 12233 ++ 11

22

++

===3=3 11

66

Show: 1 1Show: 1 12233

-- 1122

Show: 1 1Show: 1 12233

-- 1122

Show: 1 1Show: 1 12233

-- 1122

== 1166

Using Pattern Blocks to Using Pattern Blocks to Multiply FractionsMultiply Fractions

One yellow hexagon is equivalent to one whole.One yellow hexagon is equivalent to one whole.

Find of Find of 1133

1122

ShowShow 1122

1133 XX 11

22

ShowShow 1133 ofof 11

22

== 1166

Double Hexagon ModelDouble Hexagon Model

Two yellow hexagons are Two yellow hexagons are equivalent to one whole.equivalent to one whole.

Find of Find of 1133

1122

ShowShow 1122

1133 XX 11

22

ShowShow 1133 ofof 11

22

== 1166

Find of Find of 1133

1144

ShowShow 1144

1133 XX 11

44

ShowShow 1133 ofof 11

44

== 111212

Using Pattern Blocks to Using Pattern Blocks to Divide FractionsDivide Fractions

Find 4Find 4 1133

113344 ==

Four hexagons represent 4.Four hexagons represent 4.

To divide by 1/3, think “How many 1/3’s are in 4?”To divide by 1/3, think “How many 1/3’s are in 4?”

1212

1

2

3 4

5

6 7

8

9 10

11

12

Find 4Find 4 2233

223344 ==

Four hexagons represent 4.Four hexagons represent 4.

To divide by 2/3, think “How many 2/3’s are in 4?To divide by 2/3, think “How many 2/3’s are in 4?

66

1

1

2 2

3

3 4

4

5 5

6

6

Find 4Find 4 1122

112244 ==

Shade four and one half blocksShade four and one half blocks

Divide the shaded area into 3 equal parts.Divide the shaded area into 3 equal parts.

33

33

1 1 1 2 2 2 3 3 3

11 1122

Find 2Find 2 2233

223322 ==

Shade two and two thirds blocksShade two and two thirds blocks

Think “How many 2/3 are in 2 2/3?”Think “How many 2/3 are in 2 2/3?”

44

2233

2233

1

1

2 2

3

3 4

4

Corrections or suggestions for this presentation?Please email both to: Ramona.Fritts@cmcss.net or Karl.Bittinger@cmcss.net

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